Lesson 2: Challenge QuestionsMerchandise Mayhem

Extra problems

2 A small T-shirt can be made from a rectangle of jersey fabric 1 metre long and half a metre wide.

You have a piece of jersey fabric 1 metre wide and 2 metres long.

In how many different ways can you cut out the rectangles to make T-shirts?

What if your piece of fabric is 1 metre wide and 2.5 metres long?3 metres long?3.5 metres long?

Record your answers in the table below.See if you can find a rule for calculating the number of different ways to do this with longer pieces of fabric.

1 At 2:00 pm on the third day, Del sees he is running out of T-shirts. He wants his assistants to make 1350 more T-shirts by 7:00 pm.

They will obviously get tired with so much sewing to do.So Del says that in each hour they can make 60 fewer T-shirts than the hour before.

a How many T-shirts must Del's assistants make in each hour up to 7:00 pm?

b If they went on making 60 fewer T-shirts in each hour after 7:00 pm, what is the maximum number of T-shirts they could make and by what time?

Length of fabric 1 metre wide 0.5 m 1 m 1.5 m 2 m 2.5 m 3 m 3.5 m

Number of ways to cut out rectangles